Lami's theorem
In statics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear forces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem,
where A, B and C are the numerical values of three coplanar, concurrent and non-collinear forces, which keep the object in static equilibrium, and α, β and γ are the angles directly opposite to the forces A, B and C respectively.[1]
Lami's theorem is applied in static analysis of mechanical and structural systems. The theorem is named after Bernard Lamy.[2]
Proof
By making all the forces touch its tip and tail we can get a triangle with sides A,B,C and angles . By sine rule,[1]
See also
References
- 1 2 Dubey, N. H. (2013). Engineering Mechanics: Statics and Dynamics. Tata McGraw-Hill Education. ISBN 9780071072595.
- ↑ "Lami's Theorem - Oxford Reference". doi:10.1093/oi/authority.20110803100049237. Retrieved 2018-10-03.
Further reading
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